Math, asked by Rounak1288, 9 months ago

Help me in this maths it's. Urgent Please don't scam

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Answered by IIMidnightHunterII
32

\LARGE\textsf{\textcolor{red}{GIVEN :-}}

➳ AB || CD || EF

\LARGE\textsf{\textcolor{red}{TO FIND :-}}

➳ THE VALUE OF ' X '

\LARGE\textsf{\textcolor{red}{SOLUTION :-}}

Extend the line ' EF ' to point ' G '....( As shown in the fig. )

Let's assume the point of intersection of line ' BC ' and ' EG ' be ' O ' ......( As shown in the fig. )

\large\sf\angle{CEO = 180° - \angle{FEC}}

\large\sf\angle{CEO = 180° - 130°}

\large\sf\boxed{\angle{CEO = 50°}}

As ' EF || AB ' so ' GE ' will also be parallel to ' AB ' .

So,

\large\sf\angle{ABO} \: \: and \: \:  \angle{BOG} ⤵️

Are ' Internal Adjacent Angles 'and we know that the sum of ' internal adjacent angles ' is 180°

So,

\large\sf\angle{BOG = 180° - \angle{ABO}}

\large\sf\angle{BOG = 180° - 70°}

\large\sf\boxed{\angle{BOG =  110°}}

---------------------------------

\large\sf\angle{EOC =  \angle{BOG}}...... ( Vertically opposite Angles are equal )

\large\sf\boxed{\angle{EOC = 110°}}

So , as per the construction ' EOC ' is a triangle.

And we know that the sum of all the angles of a triangle is 180°.

So,

x° = 180° - ( 50° + 110° )

x° = 180° - 160°

\large\sf\therefore\boxed{\angle{ x° = 20°}}

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Answered by nandanipaul123
5

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YOUR ANSWER IS...❤

20°

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